U utorak, 31. 10., održat će se seminar

Vladimir Souček: Generalizations of the Dolbeault resolution

Sažetak: The Dirac equation for spinor valued fields on R^n is a higher dimensional
analogue of the Cauchy Riemann equations and properties of its solutions are
similar to properties of holomorphic functions. Solutions of the system of
several Dirac equations form a higher dimensional analogue of holomorphic
functions of several complex variables.
The basic problem in Clifford analysis of several variables discussed in
the lecture is to find an analogue of the Dolbeault resolution. Due to
symmetries of the equations involved, it is possible to use for the construction
of the resolution tools developed by R. Baston and M. Eastwood in their book on
the Penrose transform. Many results are at present available for such
constructions in even dimensions. The special case of dimension 4 is already
fully understood. In higher dimensions, results are known mainly in the so
called stable range.

Seminar će se održati u 17 sati u 002.

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Karmen Grizelj